Q: What are the factor combinations of the number 839,443?

 A:
Positive:   1 x 83944311 x 7631317 x 4937967 x 12529187 x 4489737 x 1139
Negative: -1 x -839443-11 x -76313-17 x -49379-67 x -12529-187 x -4489-737 x -1139


How do I find the factor combinations of the number 839,443?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 839,443, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 839,443
-1 -839,443

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 839,443.

Example:
1 x 839,443 = 839,443
and
-1 x -839,443 = 839,443
Notice both answers equal 839,443

With that explanation out of the way, let's continue. Next, we take the number 839,443 and divide it by 2:

839,443 ÷ 2 = 419,721.5

If the quotient is a whole number, then 2 and 419,721.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 839,443
-1 -839,443

Now, we try dividing 839,443 by 3:

839,443 ÷ 3 = 279,814.3333

If the quotient is a whole number, then 3 and 279,814.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 839,443
-1 -839,443

Let's try dividing by 4:

839,443 ÷ 4 = 209,860.75

If the quotient is a whole number, then 4 and 209,860.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 839,443
-1 839,443
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11117671877371,1394,48912,52949,37976,313839,443
-1-11-17-67-187-737-1,139-4,489-12,529-49,379-76,313-839,443

More Examples

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